1. The problem statement, all variables and given/known data Given the function: x*y / (4-x²-2y²) if x²+2y² ≠4 0 if x²+2y² = 4 Check if the function is continuous. 2. Relevant equations 3. The attempt at a solution I tried using various ways to see if the result of the limit as (x,y)→(2,0) was the same, such as y=x-2, y=(x-2)², etc.. I didn't manage to prove that the limit didn't existed. I always arrive at the 0/0 indetermination... If anyone could point me in the right direction I'd appreciate! D.